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A performance bound on low-pass reconstruction from PWM signals

  • University of Illinois at Urbana-Champaign

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

A performance bound on low-pass reconstruction of a finite energy, band-limited signal from its corresponding pulse width modulated (PWM) signal is given. A finite dimensional input signal structure is proposed and its characteristics such as norm and convergence rate in the tail regions are investigated. The criteria on sampling rate and reference signal structure for lossless PWM generation are specified. With uniform oversampling, different PWM structures are constructed using a generator consisting of an ideal sampler and a comparator. An equivalent model for PWM generation and low-pass reconstruction is proposed in order to separate infinite energy components in the modulated signal from the finite energy information bearing components. Using the equivalent model, bounds on distortion energies due to low-pass reconstruction and the corresponding signal to distortion ratios are given. Characteristics of low-pass reconstruction from different PWM signals such as output shifts, blurring effects and distortion attenuations are discussed.

Original languageEnglish
Title of host publication2015 IEEE International Conference on Communications, ICC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4931-4936
Number of pages6
ISBN (Electronic)9781467364324
DOIs
StatePublished - Sep 9 2015
EventIEEE International Conference on Communications, ICC 2015 - London, United Kingdom
Duration: Jun 8 2015Jun 12 2015

Publication series

NameIEEE International Conference on Communications
Volume2015-September
ISSN (Print)1550-3607

Conference

ConferenceIEEE International Conference on Communications, ICC 2015
Country/TerritoryUnited Kingdom
CityLondon
Period06/8/1506/12/15

Keywords

  • band-limited
  • blurring effect
  • finite energy
  • low-pass reconstruction
  • oversampling
  • Pulse width modulation
  • uniform sampling

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